Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 023, 13 pages      arXiv:1308.4584      https://doi.org/10.3842/SIGMA.2014.023
Contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa

Dispersionless BKP Hierarchy and Quadrant Löwner Equation

Takashi Takebe
Faculty of Mathematics, National Research University - Higher School of Economics, 7 Vavilova Str., Moscow, 117312 Russia

Received August 23, 2013, in final form March 10, 2014; Published online March 14, 2014

Abstract
We show that N-variable reduction of the dispersionless BKP hierarchy is described by a Löwner type equation for the quadrant.

Key words: dBKP hierarchy; quadrant Löwner equation; N-variable reduction.

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